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Finding the Fourth Proportional to 10,557.88, 14,568.32 and 8,970.90

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Solution

The fourth proportional to 10,557.88, 14,568.32 and 8,970.90 is: 12,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.88 : 14,568.32 = 8,970.90 : x
  2. Step 2: Convert to fraction form
    10,557.88/14,568.32 = 8,970.90/x
  3. Step 3: Cross multiply
    10,557.88x = 14,568.32 × 8,970.90
  4. Step 4: Simplify right side
    10,557.88x = 130,690,941.89
  5. Step 5: Solve for x
    x = 130,690,941.89/10,557.88
  6. Step 6: Final answer
    x = 12,378.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.