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Finding the Fourth Proportional to 10,316.84, 15,475.14 and 7,151.40

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Solution

The fourth proportional to 10,316.84, 15,475.14 and 7,151.40 is: 10,727.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.84 : 15,475.14 = 7,151.40 : x
  2. Step 2: Convert to fraction form
    10,316.84/15,475.14 = 7,151.40/x
  3. Step 3: Cross multiply
    10,316.84x = 15,475.14 × 7,151.40
  4. Step 4: Simplify right side
    10,316.84x = 110,668,916.20
  5. Step 5: Solve for x
    x = 110,668,916.20/10,316.84
  6. Step 6: Final answer
    x = 10,727.02

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