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Finding the Fourth Proportional to 10,557.84, 14,568.33 and 8,970.93

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Solution

The fourth proportional to 10,557.84, 14,568.33 and 8,970.93 is: 12,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557.84 : 14,568.33 = 8,970.93 : x
  2. Step 2: Convert to fraction form
    10,557.84/14,568.33 = 8,970.93/x
  3. Step 3: Cross multiply
    10,557.84x = 14,568.33 × 8,970.93
  4. Step 4: Simplify right side
    10,557.84x = 130,691,468.65
  5. Step 5: Solve for x
    x = 130,691,468.65/10,557.84
  6. Step 6: Final answer
    x = 12,378.62

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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.