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Finding the Fourth Proportional to 7,547.30, 10,415.18 and 4,189.98

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Solution

The fourth proportional to 7,547.30, 10,415.18 and 4,189.98 is: 5,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.30 : 10,415.18 = 4,189.98 : x
  2. Step 2: Convert to fraction form
    7,547.30/10,415.18 = 4,189.98/x
  3. Step 3: Cross multiply
    7,547.30x = 10,415.18 × 4,189.98
  4. Step 4: Simplify right side
    7,547.30x = 43,639,445.43
  5. Step 5: Solve for x
    x = 43,639,445.43/7,547.30
  6. Step 6: Final answer
    x = 5,782.13

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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.