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Finding the Fourth Proportional to 10,613.46, 14,646.93 and 5,897.94

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Solution

The fourth proportional to 10,613.46, 14,646.93 and 5,897.94 is: 8,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.46 : 14,646.93 = 5,897.94 : x
  2. Step 2: Convert to fraction form
    10,613.46/14,646.93 = 5,897.94/x
  3. Step 3: Cross multiply
    10,613.46x = 14,646.93 × 5,897.94
  4. Step 4: Simplify right side
    10,613.46x = 86,386,714.32
  5. Step 5: Solve for x
    x = 86,386,714.32/10,613.46
  6. Step 6: Final answer
    x = 8,139.35

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