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Finding the Fourth Proportional to 7,547.40, 11,321.10 and 3,655.08

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Solution

The fourth proportional to 7,547.40, 11,321.10 and 3,655.08 is: 5,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.40 : 11,321.10 = 3,655.08 : x
  2. Step 2: Convert to fraction form
    7,547.40/11,321.10 = 3,655.08/x
  3. Step 3: Cross multiply
    7,547.40x = 11,321.10 × 3,655.08
  4. Step 4: Simplify right side
    7,547.40x = 41,379,526.19
  5. Step 5: Solve for x
    x = 41,379,526.19/7,547.40
  6. Step 6: Final answer
    x = 5,482.62

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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.