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Finding the Fourth Proportional to 10,577.64, 14,567.56 and 10,348.08

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Solution

The fourth proportional to 10,577.64, 14,567.56 and 10,348.08 is: 14,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.64 : 14,567.56 = 10,348.08 : x
  2. Step 2: Convert to fraction form
    10,577.64/14,567.56 = 10,348.08/x
  3. Step 3: Cross multiply
    10,577.64x = 14,567.56 × 10,348.08
  4. Step 4: Simplify right side
    10,577.64x = 150,746,276.28
  5. Step 5: Solve for x
    x = 150,746,276.28/10,577.64
  6. Step 6: Final answer
    x = 14,251.41

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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.