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Finding the Fourth Proportional to 7,421.40, 11,088.48 and 7,162.98

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Solution

The fourth proportional to 7,421.40, 11,088.48 and 7,162.98 is: 10,702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,421.40 : 11,088.48 = 7,162.98 : x
  2. Step 2: Convert to fraction form
    7,421.40/11,088.48 = 7,162.98/x
  3. Step 3: Cross multiply
    7,421.40x = 11,088.48 × 7,162.98
  4. Step 4: Simplify right side
    7,421.40x = 79,426,560.47
  5. Step 5: Solve for x
    x = 79,426,560.47/7,421.40
  6. Step 6: Final answer
    x = 10,702.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.