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Finding the Fourth Proportional to 7,051.30, 10,547.79 and 6,409.78

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Solution

The fourth proportional to 7,051.30, 10,547.79 and 6,409.78 is: 9,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.30 : 10,547.79 = 6,409.78 : x
  2. Step 2: Convert to fraction form
    7,051.30/10,547.79 = 6,409.78/x
  3. Step 3: Cross multiply
    7,051.30x = 10,547.79 × 6,409.78
  4. Step 4: Simplify right side
    7,051.30x = 67,609,013.39
  5. Step 5: Solve for x
    x = 67,609,013.39/7,051.30
  6. Step 6: Final answer
    x = 9,588.16

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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.