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Finding the Fourth Proportional to 10,568.84, 14,569.96 and 7,207.32

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Solution

The fourth proportional to 10,568.84, 14,569.96 and 7,207.32 is: 9,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.84 : 14,569.96 = 7,207.32 : x
  2. Step 2: Convert to fraction form
    10,568.84/14,569.96 = 7,207.32/x
  3. Step 3: Cross multiply
    10,568.84x = 14,569.96 × 7,207.32
  4. Step 4: Simplify right side
    10,568.84x = 105,010,364.11
  5. Step 5: Solve for x
    x = 105,010,364.11/10,568.84
  6. Step 6: Final answer
    x = 9,935.85

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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.