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Finding the Fourth Proportional to 10,582.79, 14,597.64 and 6,810.89

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Solution

The fourth proportional to 10,582.79, 14,597.64 and 6,810.89 is: 9,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.79 : 14,597.64 = 6,810.89 : x
  2. Step 2: Convert to fraction form
    10,582.79/14,597.64 = 6,810.89/x
  3. Step 3: Cross multiply
    10,582.79x = 14,597.64 × 6,810.89
  4. Step 4: Simplify right side
    10,582.79x = 99,422,847.31
  5. Step 5: Solve for x
    x = 99,422,847.31/10,582.79
  6. Step 6: Final answer
    x = 9,394.77

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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.