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Finding the Fourth Proportional to 10,564.98, 14,582.97 and 6,583.74

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Solution

The fourth proportional to 10,564.98, 14,582.97 and 6,583.74 is: 9,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.98 : 14,582.97 = 6,583.74 : x
  2. Step 2: Convert to fraction form
    10,564.98/14,582.97 = 6,583.74/x
  3. Step 3: Cross multiply
    10,564.98x = 14,582.97 × 6,583.74
  4. Step 4: Simplify right side
    10,564.98x = 96,010,482.91
  5. Step 5: Solve for x
    x = 96,010,482.91/10,564.98
  6. Step 6: Final answer
    x = 9,087.62

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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.