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Finding the Fourth Proportional to 7,881.66, 10,868.34 and 7,088.13

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Solution

The fourth proportional to 7,881.66, 10,868.34 and 7,088.13 is: 9,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.66 : 10,868.34 = 7,088.13 : x
  2. Step 2: Convert to fraction form
    7,881.66/10,868.34 = 7,088.13/x
  3. Step 3: Cross multiply
    7,881.66x = 10,868.34 × 7,088.13
  4. Step 4: Simplify right side
    7,881.66x = 77,036,233.38
  5. Step 5: Solve for x
    x = 77,036,233.38/7,881.66
  6. Step 6: Final answer
    x = 9,774.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.