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Finding the Fourth Proportional to 7,547.64, 11,320.36 and 2,001.32

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Solution

The fourth proportional to 7,547.64, 11,320.36 and 2,001.32 is: 3,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.64 : 11,320.36 = 2,001.32 : x
  2. Step 2: Convert to fraction form
    7,547.64/11,320.36 = 2,001.32/x
  3. Step 3: Cross multiply
    7,547.64x = 11,320.36 × 2,001.32
  4. Step 4: Simplify right side
    7,547.64x = 22,655,662.88
  5. Step 5: Solve for x
    x = 22,655,662.88/7,547.64
  6. Step 6: Final answer
    x = 3,001.69

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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.