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Finding the Fourth Proportional to 11,098, 15,315.40 and 6,130

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Solution

The fourth proportional to 11,098, 15,315.40 and 6,130 is: 8,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098 : 15,315.40 = 6,130 : x
  2. Step 2: Convert to fraction form
    11,098/15,315.40 = 6,130/x
  3. Step 3: Cross multiply
    11,098x = 15,315.40 × 6,130
  4. Step 4: Simplify right side
    11,098x = 93,883,402
  5. Step 5: Solve for x
    x = 93,883,402/11,098
  6. Step 6: Final answer
    x = 8,459.49

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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.