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Finding the Fourth Proportional to 10,862.16, 14,988.84 and 6,146.88

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Solution

The fourth proportional to 10,862.16, 14,988.84 and 6,146.88 is: 8,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.16 : 14,988.84 = 6,146.88 : x
  2. Step 2: Convert to fraction form
    10,862.16/14,988.84 = 6,146.88/x
  3. Step 3: Cross multiply
    10,862.16x = 14,988.84 × 6,146.88
  4. Step 4: Simplify right side
    10,862.16x = 92,134,600.82
  5. Step 5: Solve for x
    x = 92,134,600.82/10,862.16
  6. Step 6: Final answer
    x = 8,482.16

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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.