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Finding the Fourth Proportional to 10,587.78, 15,875.52 and 7,081.74

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Solution

The fourth proportional to 10,587.78, 15,875.52 and 7,081.74 is: 10,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.78 : 15,875.52 = 7,081.74 : x
  2. Step 2: Convert to fraction form
    10,587.78/15,875.52 = 7,081.74/x
  3. Step 3: Cross multiply
    10,587.78x = 15,875.52 × 7,081.74
  4. Step 4: Simplify right side
    10,587.78x = 112,426,305.00
  5. Step 5: Solve for x
    x = 112,426,305.00/10,587.78
  6. Step 6: Final answer
    x = 10,618.50

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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.