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Finding the Fourth Proportional to 10,916.16, 15,064.30 and 5,948.16

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Solution

The fourth proportional to 10,916.16, 15,064.30 and 5,948.16 is: 8,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.16 : 15,064.30 = 5,948.16 : x
  2. Step 2: Convert to fraction form
    10,916.16/15,064.30 = 5,948.16/x
  3. Step 3: Cross multiply
    10,916.16x = 15,064.30 × 5,948.16
  4. Step 4: Simplify right side
    10,916.16x = 89,604,784.17
  5. Step 5: Solve for x
    x = 89,604,784.17/10,916.16
  6. Step 6: Final answer
    x = 8,208.46

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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.