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Finding the Fourth Proportional to 10,714.32, 16,070.40 and 2,923.02

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Solution

The fourth proportional to 10,714.32, 16,070.40 and 2,923.02 is: 4,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.32 : 16,070.40 = 2,923.02 : x
  2. Step 2: Convert to fraction form
    10,714.32/16,070.40 = 2,923.02/x
  3. Step 3: Cross multiply
    10,714.32x = 16,070.40 × 2,923.02
  4. Step 4: Simplify right side
    10,714.32x = 46,974,100.61
  5. Step 5: Solve for x
    x = 46,974,100.61/10,714.32
  6. Step 6: Final answer
    x = 4,384.24

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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.