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Finding the Fourth Proportional to 8,303.76, 11,459.34 and 4,526.96

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Solution

The fourth proportional to 8,303.76, 11,459.34 and 4,526.96 is: 6,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.76 : 11,459.34 = 4,526.96 : x
  2. Step 2: Convert to fraction form
    8,303.76/11,459.34 = 4,526.96/x
  3. Step 3: Cross multiply
    8,303.76x = 11,459.34 × 4,526.96
  4. Step 4: Simplify right side
    8,303.76x = 51,875,916.51
  5. Step 5: Solve for x
    x = 51,875,916.51/8,303.76
  6. Step 6: Final answer
    x = 6,247.28

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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.