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Finding the Fourth Proportional to 10,557.34, 15,830.18 and 7,229.40

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Solution

The fourth proportional to 10,557.34, 15,830.18 and 7,229.40 is: 10,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.34 : 15,830.18 = 7,229.40 : x
  2. Step 2: Convert to fraction form
    10,557.34/15,830.18 = 7,229.40/x
  3. Step 3: Cross multiply
    10,557.34x = 15,830.18 × 7,229.40
  4. Step 4: Simplify right side
    10,557.34x = 114,442,718.85
  5. Step 5: Solve for x
    x = 114,442,718.85/10,557.34
  6. Step 6: Final answer
    x = 10,840.11

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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.