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Finding the Fourth Proportional to 7,547.61, 10,416.36 and 4,191.08

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Solution

The fourth proportional to 7,547.61, 10,416.36 and 4,191.08 is: 5,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.61 : 10,416.36 = 4,191.08 : x
  2. Step 2: Convert to fraction form
    7,547.61/10,416.36 = 4,191.08/x
  3. Step 3: Cross multiply
    7,547.61x = 10,416.36 × 4,191.08
  4. Step 4: Simplify right side
    7,547.61x = 43,655,761.70
  5. Step 5: Solve for x
    x = 43,655,761.70/7,547.61
  6. Step 6: Final answer
    x = 5,784.05

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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.