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Finding the Fourth Proportional to 10,582.35, 14,597.01 and 6,810.42

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Solution

The fourth proportional to 10,582.35, 14,597.01 and 6,810.42 is: 9,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.35 : 14,597.01 = 6,810.42 : x
  2. Step 2: Convert to fraction form
    10,582.35/14,597.01 = 6,810.42/x
  3. Step 3: Cross multiply
    10,582.35x = 14,597.01 × 6,810.42
  4. Step 4: Simplify right side
    10,582.35x = 99,411,768.84
  5. Step 5: Solve for x
    x = 99,411,768.84/10,582.35
  6. Step 6: Final answer
    x = 9,394.11

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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.