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Finding the Fourth Proportional to 10,916.91, 15,061.82 and 6,442.16

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Solution

The fourth proportional to 10,916.91, 15,061.82 and 6,442.16 is: 8,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.91 : 15,061.82 = 6,442.16 : x
  2. Step 2: Convert to fraction form
    10,916.91/15,061.82 = 6,442.16/x
  3. Step 3: Cross multiply
    10,916.91x = 15,061.82 × 6,442.16
  4. Step 4: Simplify right side
    10,916.91x = 97,030,546.81
  5. Step 5: Solve for x
    x = 97,030,546.81/10,916.91
  6. Step 6: Final answer
    x = 8,888.10

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