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Finding the Fourth Proportional to 7,547.12, 11,307.24 and 6,440.24

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Solution

The fourth proportional to 7,547.12, 11,307.24 and 6,440.24 is: 9,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.12 : 11,307.24 = 6,440.24 : x
  2. Step 2: Convert to fraction form
    7,547.12/11,307.24 = 6,440.24/x
  3. Step 3: Cross multiply
    7,547.12x = 11,307.24 × 6,440.24
  4. Step 4: Simplify right side
    7,547.12x = 72,821,339.34
  5. Step 5: Solve for x
    x = 72,821,339.34/7,547.12
  6. Step 6: Final answer
    x = 9,648.89

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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.