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Finding the Fourth Proportional to 7,407.51, 10,214.70 and 6,348.96

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Solution

The fourth proportional to 7,407.51, 10,214.70 and 6,348.96 is: 8,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.51 : 10,214.70 = 6,348.96 : x
  2. Step 2: Convert to fraction form
    7,407.51/10,214.70 = 6,348.96/x
  3. Step 3: Cross multiply
    7,407.51x = 10,214.70 × 6,348.96
  4. Step 4: Simplify right side
    7,407.51x = 64,852,721.71
  5. Step 5: Solve for x
    x = 64,852,721.71/7,407.51
  6. Step 6: Final answer
    x = 8,755.00

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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.