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Finding the Fourth Proportional to 7,038.36, 9,708.45 and 4,913.11

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Solution

The fourth proportional to 7,038.36, 9,708.45 and 4,913.11 is: 6,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.36 : 9,708.45 = 4,913.11 : x
  2. Step 2: Convert to fraction form
    7,038.36/9,708.45 = 4,913.11/x
  3. Step 3: Cross multiply
    7,038.36x = 9,708.45 × 4,913.11
  4. Step 4: Simplify right side
    7,038.36x = 47,698,717.61
  5. Step 5: Solve for x
    x = 47,698,717.61/7,038.36
  6. Step 6: Final answer
    x = 6,776.96

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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.