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Finding the Fourth Proportional to 7,810.32, 11,714.76 and 4,513.08

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Solution

The fourth proportional to 7,810.32, 11,714.76 and 4,513.08 is: 6,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.32 : 11,714.76 = 4,513.08 : x
  2. Step 2: Convert to fraction form
    7,810.32/11,714.76 = 4,513.08/x
  3. Step 3: Cross multiply
    7,810.32x = 11,714.76 × 4,513.08
  4. Step 4: Simplify right side
    7,810.32x = 52,869,649.06
  5. Step 5: Solve for x
    x = 52,869,649.06/7,810.32
  6. Step 6: Final answer
    x = 6,769.20

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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.