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Finding the Fourth Proportional to 10,447.60, 15,664.56 and 4,599.04

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Solution

The fourth proportional to 10,447.60, 15,664.56 and 4,599.04 is: 6,895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.60 : 15,664.56 = 4,599.04 : x
  2. Step 2: Convert to fraction form
    10,447.60/15,664.56 = 4,599.04/x
  3. Step 3: Cross multiply
    10,447.60x = 15,664.56 × 4,599.04
  4. Step 4: Simplify right side
    10,447.60x = 72,041,938.02
  5. Step 5: Solve for x
    x = 72,041,938.02/10,447.60
  6. Step 6: Final answer
    x = 6,895.55

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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.