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Finding the Fourth Proportional to 10,458.90, 15,688.35 and 4,302.90

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Solution

The fourth proportional to 10,458.90, 15,688.35 and 4,302.90 is: 6,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.90 : 15,688.35 = 4,302.90 : x
  2. Step 2: Convert to fraction form
    10,458.90/15,688.35 = 4,302.90/x
  3. Step 3: Cross multiply
    10,458.90x = 15,688.35 × 4,302.90
  4. Step 4: Simplify right side
    10,458.90x = 67,505,401.22
  5. Step 5: Solve for x
    x = 67,505,401.22/10,458.90
  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.