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Finding the Fourth Proportional to 10,569.84, 14,577.93 and 7,216.44

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Solution

The fourth proportional to 10,569.84, 14,577.93 and 7,216.44 is: 9,952.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.84 : 14,577.93 = 7,216.44 : x
  2. Step 2: Convert to fraction form
    10,569.84/14,577.93 = 7,216.44/x
  3. Step 3: Cross multiply
    10,569.84x = 14,577.93 × 7,216.44
  4. Step 4: Simplify right side
    10,569.84x = 105,200,757.17
  5. Step 5: Solve for x
    x = 105,200,757.17/10,569.84
  6. Step 6: Final answer
    x = 9,952.92

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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.