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Finding the Fourth Proportional to 7,024.96, 10,547.16 and 3,564.64

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Solution

The fourth proportional to 7,024.96, 10,547.16 and 3,564.64 is: 5,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.96 : 10,547.16 = 3,564.64 : x
  2. Step 2: Convert to fraction form
    7,024.96/10,547.16 = 3,564.64/x
  3. Step 3: Cross multiply
    7,024.96x = 10,547.16 × 3,564.64
  4. Step 4: Simplify right side
    7,024.96x = 37,596,828.42
  5. Step 5: Solve for x
    x = 37,596,828.42/7,024.96
  6. Step 6: Final answer
    x = 5,351.89

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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.