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Finding the Fourth Proportional to 10,458.24, 15,689.76 and 4,302.24

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Solution

The fourth proportional to 10,458.24, 15,689.76 and 4,302.24 is: 6,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.24 : 15,689.76 = 4,302.24 : x
  2. Step 2: Convert to fraction form
    10,458.24/15,689.76 = 4,302.24/x
  3. Step 3: Cross multiply
    10,458.24x = 15,689.76 × 4,302.24
  4. Step 4: Simplify right side
    10,458.24x = 67,501,113.06
  5. Step 5: Solve for x
    x = 67,501,113.06/10,458.24
  6. Step 6: Final answer
    x = 6,454.35

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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.