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Finding the Fourth Proportional to 7,603.42, 10,492.80 and 4,459.66

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Solution

The fourth proportional to 7,603.42, 10,492.80 and 4,459.66 is: 6,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.42 : 10,492.80 = 4,459.66 : x
  2. Step 2: Convert to fraction form
    7,603.42/10,492.80 = 4,459.66/x
  3. Step 3: Cross multiply
    7,603.42x = 10,492.80 × 4,459.66
  4. Step 4: Simplify right side
    7,603.42x = 46,794,320.45
  5. Step 5: Solve for x
    x = 46,794,320.45/7,603.42
  6. Step 6: Final answer
    x = 6,154.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.