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Finding the Fourth Proportional to 10,307.60, 15,468.60 and 4,468.40

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Solution

The fourth proportional to 10,307.60, 15,468.60 and 4,468.40 is: 6,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.60 : 15,468.60 = 4,468.40 : x
  2. Step 2: Convert to fraction form
    10,307.60/15,468.60 = 4,468.40/x
  3. Step 3: Cross multiply
    10,307.60x = 15,468.60 × 4,468.40
  4. Step 4: Simplify right side
    10,307.60x = 69,119,892.24
  5. Step 5: Solve for x
    x = 69,119,892.24/10,307.60
  6. Step 6: Final answer
    x = 6,705.72

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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.