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Finding the Fourth Proportional to 10,374.53, 15,546 and 7,603.04

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Solution

The fourth proportional to 10,374.53, 15,546 and 7,603.04 is: 11,392.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.53 : 15,546 = 7,603.04 : x
  2. Step 2: Convert to fraction form
    10,374.53/15,546 = 7,603.04/x
  3. Step 3: Cross multiply
    10,374.53x = 15,546 × 7,603.04
  4. Step 4: Simplify right side
    10,374.53x = 118,196,782.11
  5. Step 5: Solve for x
    x = 118,196,782.11/10,374.53
  6. Step 6: Final answer
    x = 11,392.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.