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Finding the Fourth Proportional to 7,854.34, 10,835.70 and 4,710.54

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Solution

The fourth proportional to 7,854.34, 10,835.70 and 4,710.54 is: 6,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.34 : 10,835.70 = 4,710.54 : x
  2. Step 2: Convert to fraction form
    7,854.34/10,835.70 = 4,710.54/x
  3. Step 3: Cross multiply
    7,854.34x = 10,835.70 × 4,710.54
  4. Step 4: Simplify right side
    7,854.34x = 51,041,998.28
  5. Step 5: Solve for x
    x = 51,041,998.28/7,854.34
  6. Step 6: Final answer
    x = 6,498.57

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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.