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Finding the Fourth Proportional to 7,547.64, 10,412.28 and 4,521.04

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Solution

The fourth proportional to 7,547.64, 10,412.28 and 4,521.04 is: 6,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.64 : 10,412.28 = 4,521.04 : x
  2. Step 2: Convert to fraction form
    7,547.64/10,412.28 = 4,521.04/x
  3. Step 3: Cross multiply
    7,547.64x = 10,412.28 × 4,521.04
  4. Step 4: Simplify right side
    7,547.64x = 47,074,334.37
  5. Step 5: Solve for x
    x = 47,074,334.37/7,547.64
  6. Step 6: Final answer
    x = 6,236.96

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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.