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Finding the Fourth Proportional to 10,607.85, 14,637.83 and 6,130.98

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Solution

The fourth proportional to 10,607.85, 14,637.83 and 6,130.98 is: 8,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.85 : 14,637.83 = 6,130.98 : x
  2. Step 2: Convert to fraction form
    10,607.85/14,637.83 = 6,130.98/x
  3. Step 3: Cross multiply
    10,607.85x = 14,637.83 × 6,130.98
  4. Step 4: Simplify right side
    10,607.85x = 89,744,212.32
  5. Step 5: Solve for x
    x = 89,744,212.32/10,607.85
  6. Step 6: Final answer
    x = 8,460.17

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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.