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Finding the Fourth Proportional to 10,295.49, 15,432.63 and 4,052.97

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Solution

The fourth proportional to 10,295.49, 15,432.63 and 4,052.97 is: 6,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.49 : 15,432.63 = 4,052.97 : x
  2. Step 2: Convert to fraction form
    10,295.49/15,432.63 = 4,052.97/x
  3. Step 3: Cross multiply
    10,295.49x = 15,432.63 × 4,052.97
  4. Step 4: Simplify right side
    10,295.49x = 62,547,986.41
  5. Step 5: Solve for x
    x = 62,547,986.41/10,295.49
  6. Step 6: Final answer
    x = 6,075.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.