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Finding the Fourth Proportional to 7,098.32, 10,646.10 and 2,714.74

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Solution

The fourth proportional to 7,098.32, 10,646.10 and 2,714.74 is: 4,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.32 : 10,646.10 = 2,714.74 : x
  2. Step 2: Convert to fraction form
    7,098.32/10,646.10 = 2,714.74/x
  3. Step 3: Cross multiply
    7,098.32x = 10,646.10 × 2,714.74
  4. Step 4: Simplify right side
    7,098.32x = 28,901,393.51
  5. Step 5: Solve for x
    x = 28,901,393.51/7,098.32
  6. Step 6: Final answer
    x = 4,071.58

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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.