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Finding the Fourth Proportional to 10,705.16, 16,036.95 and 7,888.88

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Solution

The fourth proportional to 10,705.16, 16,036.95 and 7,888.88 is: 11,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.16 : 16,036.95 = 7,888.88 : x
  2. Step 2: Convert to fraction form
    10,705.16/16,036.95 = 7,888.88/x
  3. Step 3: Cross multiply
    10,705.16x = 16,036.95 × 7,888.88
  4. Step 4: Simplify right side
    10,705.16x = 126,513,493.93
  5. Step 5: Solve for x
    x = 126,513,493.93/10,705.16
  6. Step 6: Final answer
    x = 11,818.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.