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Finding the Fourth Proportional to 7,386.81, 11,088.14 and 4,102.67

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Solution

The fourth proportional to 7,386.81, 11,088.14 and 4,102.67 is: 6,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.81 : 11,088.14 = 4,102.67 : x
  2. Step 2: Convert to fraction form
    7,386.81/11,088.14 = 4,102.67/x
  3. Step 3: Cross multiply
    7,386.81x = 11,088.14 × 4,102.67
  4. Step 4: Simplify right side
    7,386.81x = 45,490,903.38
  5. Step 5: Solve for x
    x = 45,490,903.38/7,386.81
  6. Step 6: Final answer
    x = 6,158.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.