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Finding the Fourth Proportional to 10,580.34, 14,597.98 and 6,602.09

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Solution

The fourth proportional to 10,580.34, 14,597.98 and 6,602.09 is: 9,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.34 : 14,597.98 = 6,602.09 : x
  2. Step 2: Convert to fraction form
    10,580.34/14,597.98 = 6,602.09/x
  3. Step 3: Cross multiply
    10,580.34x = 14,597.98 × 6,602.09
  4. Step 4: Simplify right side
    10,580.34x = 96,377,197.77
  5. Step 5: Solve for x
    x = 96,377,197.77/10,580.34
  6. Step 6: Final answer
    x = 9,109.08

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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.